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106881475038 = 231315182710973
BaseRepresentation
bin110001110001010100…
…0011110000111011110
3101012212202100111100120
41203202220132013132
53222343124200123
6121033424535410
710502423355642
oct1434250360736
9335782314316
10106881475038
1141367896158
121886a481566
13a1043b6c70
14525cd66c22
152ba84402e3
hex18e2a1e1de

106881475038 has 64 divisors (see below), whose sum is σ = 232032148992. Its totient is φ = 32626339200.

The previous prime is 106881475037. The next prime is 106881475049. The reversal of 106881475038 is 830574188601.

It is a happy number.

It is a super-2 number, since 2×1068814750382 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106881475033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9734920 + ... + 9745892.

It is an arithmetic number, because the mean of its divisors is an integer number (3625502328).

Almost surely, 2106881475038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106881475038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116016074496).

106881475038 is an abundant number, since it is smaller than the sum of its proper divisors (125150673954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106881475038 is a wasteful number, since it uses less digits than its factorization.

106881475038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11969.

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 106881475038 in words is "one hundred six billion, eight hundred eighty-one million, four hundred seventy-five thousand, thirty-eight".

Divisors: 1 2 3 6 13 26 39 78 151 302 453 827 906 1654 1963 2481 3926 4962 5889 10751 10973 11778 21502 21946 32253 32919 64506 65838 124877 142649 249754 285298 374631 427947 749262 855894 1623401 1656923 3246802 3313846 4870203 4970769 9074671 9740406 9941538 18149342 21539999 27224013 43079998 54448026 64619997 117970723 129239994 235941446 353912169 707824338 1370275321 2740550642 4110825963 8221651926 17813579173 35627158346 53440737519 106881475038